Question

Find the measure of the missing angles in the triangle below round your answer to the nearest degree

Answer 1

a. 40°

b. 21°

Explanation:

a. Reference angle = θ

Opposite = 5

Adjacent = 6

Apply TOA:

`Tan (\theta) = (Opp)/(Adj)`

`Tan (\theta) = (5)/(6)`

`\theta = Tan^(-1)((5)/(6))`

`\theta = 40` (nearest degree)

b. Reference angle = x

Opposite = 5

Hypotenuse = 14

Apply SOH:

`Sin (x) = (Opp)/(Hyp)`

`Sin (x) = (5)/(14)`

`x = Sin^(-1)((5)/(14))`

`x = 21` (nearest degree)